296004960 has 72 divisors (see below), whose sum is σ = 1010121840. Its totient is φ = 78934272.

The previous prime is 296004959. The next prime is 296004977. The reversal of 296004960 is 69400692.

296004960 is a `hidden beast` number, since 2 + 9 + 600 + 49 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101340 + ... + 104219.

It is an arithmetic number, because the mean of its divisors is an integer number (14029470).

Almost surely, 2^296004960 is an apocalyptic number.

296004960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

296004960 is an abundant number, since it is smaller than the sum of its proper divisors (714116880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

296004960 is a wasteful number, since it uses less digits than its factorization.

296004960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205580 (or 205569 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 296004960 is about 17204.7946805534. The cubic root of 296004960 is about 666.4480927905.

The spelling of 296004960 in words is "two hundred ninety-six million, four thousand, nine hundred sixty".